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3 years ago

HELP I WILL GIVE BRAINIEST

Mathematics

1 answer:

solong [7]3 years ago

5 0

Answer:

3. 37

4. 59

5. 79

Step-by-step explanation:

All the angles of the triangle add up to 180°

3. 180-(31+112) = 37°

4. (4x-18)+(8x+7)+(5x+4) = 180

17x-7 = 180

17x = 187

x =11

we have found the x now we need to input it to find m∠z

5x+4

=5×11+4

=59°

5. A straight angle is 180° so if the outside angle is 129 the inside one will be 51°

(2x-3)+(x+9)+51 = 180

3x+57 = 180

3x = 123

x = 41

Now we need to find m∠L

2x-3

= 2×41-3

= 79°

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Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by: